Published January 1, 2011 | Version v1
Journal article Open

ON THE SUPPORT OF GENERAL LOCAL COHOMOLOGY MODULES AND FILTER REGULAR SEQUENCES

  • 1. Karamanoglu Mehmetbey Univ, Dept Math, Karaman, Turkey
  • 2. Ferdowsi Univ Mashhad, Dept Pure Math, CEAAS, Mashhad, Iran
  • 3. Gebze Inst Technol, Dept Math, TR-41400 Gebze, Turkey

Description

Let R be a commutative Noetherian ring with non-zero identity and a an ideal of R. In the present paper, we examine the question whether the support of H-a(n)(N, M) must be closed in Zariski topology, where H-a(n)(N, M) is the nth general local cohomology module of finitely generated R-modules M and N with respect to the ideal a.

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